What is 3/((x-2))-4/((x-3))+2/3 ?

The solution to 3/((x-2))-4/((x-3))+2/3 is (2x^2-13x+9)/(3(x-2)(x-3))

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simplify 3/((x-2))-4/((x-3))+2/3

simplify

\frac{3}{( x - 2 )} - \frac{4}{( x - 3 )} + \frac{2}{3}

\frac{2 x ^{2} - 13 x + 9}{3 ( x - 2 ) ( x - 3 )}

Solution steps

\frac{3}{x - 2} - \frac{4}{x - 3} + \frac{2}{3}

Least Common Multiplier of

x - 2, x - 3, 3 : 3 (x - 2) (x - 3)

Adjust Fractions based on the LCM

= \frac{9 ( x - 3 )}{3 ( x - 2 ) ( x - 3 )} - \frac{12 ( x - 2 )}{3 ( x - 2 ) ( x - 3 )} + \frac{2 ( x - 2 ) ( x - 3 )}{3 ( x - 2 ) ( x - 3 )}

Apply the fraction rule:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{9 ( x - 3 ) - 12 ( x - 2 ) + 2 ( x - 2 ) ( x - 3 )}{3 ( x - 2 ) ( x - 3 )}

Simplify

9 (x - 3) - 12 (x - 2) + 2 (x - 2) (x - 3) : 2 x^{2} - 13 x + 9

= \frac{2 x ^{2} - 13 x + 9}{3 ( x - 2 ) ( x - 3 )}

x^{3} - 6 x^{2} + 18 x - 27

(a^{4} + a^{- 4} + 2)^{\frac{1}{2}}

(- 1.4) y (4.6)

((5 \cdot 2)^{1 0^{20}})^{5}

\frac{1}{cos ^{2} ( t ) - 1}

What is 3/((x-2))-4/((x-3))+2/3 ?
The solution to 3/((x-2))-4/((x-3))+2/3 is (2x^2-13x+9)/(3(x-2)(x-3))